 ## Ex: Evaluate Common Logarithms on the Calculator

– WE WANT TO EVALUATE EACH LOGARITHM ON A CALCULATOR. THEN WRITE A EXPONENTIAL EQUATION TO SHOW THE MEANING OF THE VALUE. NOTICE IN BOTH OF THESE LOGARITHMS THE BASE IS NOT GIVEN THEREFORE WE KNOW IT’S A COMMON LOGARITHM OR LOG BASE 10. MOST CALCULATORS ONLY CONTAIN TWO LOG BUTTONS, LOG FOR COMMON LOG […] ## Ex: Evaluate Natural Logarithms on the Calculator

– WE WANT TO EVALUATE THE GIVEN LOGARITHMS, AND THEN WRITE AN EXPONENTIAL EQUATION TO SHOW THE MEANING OF THE VALUE. NOTICE BOTH OF THESE ARE NATURAL LOGARITHMS, WHICH MEANS BOTH OF THESE ARE LOG BASE E. AND JUST TO REMIND US OF THIS, LET’S GO AHEAD AND PUT THE LITTLE E HERE AND HERE. […] ## Ex 1: Evaluate Logarithms Without a Calculator – Whole Numbers

– WE WANT TO EVALUATE THE TWO GIVEN LOGARITHMS WITHOUT THE USE OF A CALCULATOR. WE HAVE LOG BASE 3 OF 81 AND LOG BASE 2 OF 32. TO EVALUATE THESE WE’RE GOING TO SET THEM EQUAL TO A VARIABLE, LET’S SAY X, THEN WE’LL WRITE THIS AS AN EXPONENTIAL EQUATION TO DETERMINE THE VALUE […] ## Ex: Evaluate Logarithmic Expressions without a Calculator – Common Log

We want to evaluate the given log expressions. Notice how for each log the base is not given, so we know these are common logs, meaning each log is base 10. To help us evaluate these log expressions, we’ll form a log equation by setting the expression equal to x, then we’ll write the log […] ## Convert Numbers in Base Ten to Different Bases: Calculator Method

– WELCOME TO A SECOND LESSON ON CONVERTING BASE 10 NUMBERS TO DIFFERENT BASES. IN THIS METHOD WE’LL BE USING A CALCULATOR TO CONVERT TO DIFFERENT BASES. LET’S BEGIN BY CONSIDERING THE NUMBER 1432 IN DIFFERENT BASES. IN BASE 10, THE BASE WE’RE USED TO WORKING WITH, WE KNOW THE ONE REPRESENTS 1, 1000. WE […] ## Ex: Evaluate Common Logarithms on a Calculator

– IN THESE TWO EXAMPLES, WE’RE ASKED TO EVALUATE THE COMMON LOGARITHMS USING A CALCULATOR. THE REASON WE’RE ASKED TO USE A CALCULATOR IS BECAUSE NOTICE HOW THE NUMBER PART OF THE LOGARITHMS CANNOT BE WRITTEN AS 10 RAISED TO AN INTEGER POWER. SO WE’LL HAVE TO GET DECIMAL APPROXIMATIONS FOR THESE COMMON LOGARITHMS. SO […] ## Ex 2: Evaluate Logarithms Without a Calculator – Fractions

– NOW WE’LL EVALUATE TWO LOGARITHMS WITHOUT THE USE OF A CALCULATOR WHEN THE NUMBER PART OF THE LOGARITHM IS A FRACTION. HERE WE HAVE LOG BASE 5 OF 125TH AND WE HAVE LOG BASED 2 OF 1/16TH. TO EVALUATE THIS, WE’LL SET IT EQUAL TO A VARIABLE LET’S SAY X. WRITE THIS AS AN […] ## Ex: Evaluate Common Logarithms Without a Calculator

– WE WANT TO EVALUATE THE COMMON LOGARITHMS WITHOUT THE USE OF A CALCULATOR. IN THE FIRST EXAMPLE WE HAVE COMMON LOG 10,000. REMEMBER WHEN A LOG IS WRITTEN THIS WAY WITH NO BASE WE KNOW THAT IT’S COMMON LOG OR LOG BASE 10. AND TO EVALUATE THIS COMMON LOG, WE’LL SET IT EQUAL TO […]